Criterion of positivity for semilinear problems with applications in biology

Abstract : The goal of this article is to provide an useful criterion of positivity and well-posedness for a wide range of infinite dimensional semilinear abstract Cauchy problems. This criterion is based on some weak assumptions on the non-linear part of the semilinear problem and on the existence of a strongly continuous semigroup generated by the differential operator. To illustrate a large variety of applications, we exhibit the feasibility of this criterion through three examples in mathematical biology: epidemiology, predator-prey interactions and oncology.
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https://hal.archives-ouvertes.fr/hal-01290966
Contributeur : Michel Duprez <>
Soumis le : mardi 9 août 2016 - 10:03:34
Dernière modification le : mercredi 10 août 2016 - 01:04:02

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  • HAL Id : hal-01290966, version 2

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Michel Duprez, Antoine Perasso. Criterion of positivity for semilinear problems with applications in biology. 2016. <hal-01290966v2>

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